This study examines sex-differences in expressed attitudes of parents and students towards primary school mathematics before and after involvement in a Family Maths Program. The study involved the families of Year 3 and 4 students at a Catholic primary school in the ACT, and used an illuminative evaluation methodology. Results suggest that: the effects of running a Family Maths Program were not confined to the parents and children who attended the formal sessions; at this primary school, mothers have a more active involvement than fathers in the development of attitudes to maths; and there is need for a more integrated approach to the use of calculators and computers in the mathematics curriculum at this school.

The aim of this study is to explore the adult immigrant students’ experience of maths in Sweden. I will present an understanding rather than an explanation on how second language adult students learn maths. It can be argued that people who study maths as adults in a new homeland and in a foreign language face particular challenges. At the same time research reports that people sometimes approach the subject in a more fruitful way as adults compared to their childhood experiences. I want to contribute to the general knowledge of the subject and furthermore provide improved understanding of how mathematics teachers can guide their students towards their goals.I have performed semi-structured qualitative research interviews. My informants are my own maths students on the basic level with incomplete grades in maths from secondary school, or they have failed in their maths studies in upper secondary school due to a low level of know-ledge. They are over 20 years of age and they are all immigrants and have arrived in Sweden as adults. I have used my students statements, written as narratives as the material which is to be interpreted and understood. Because of my use of my own students in the interview, I will not take into account their statements about the teacher’s role in my conclusion.I find that:1. The difficult experience of being forced to leave the home country, together with a wish to take revenge on the failures from their youth, can lead to a kind of struggle for decom-pensation that can be reflected in the participants' positive evaluation of their maths studies.2. Having a family is a great motivational help for studying regardless of the time it takes to take care of the same.3. The memories of previous failures with the incomprehensible, abstract mathematics characterise the students’ inception of the subject.4. It seems possible that adult students can understand themselves in a new way and redefine their relationship with maths and their own ability to study the subject.

This research explores how the social backgrounds of a group of students contributed to their intuitive knowledge in probabilistic reasoning, and influenced their processing of the associated mathematics. A group of Year 11 students who came from families for whom the phenomenon of track gambling formed an important part of their cultural background was identified. Another group consisting of students in the same mathematics course (Year 11 Maths in Society) but from families for whom the phenomenon of gambling in any form was totally absent from their social backgrounds was identified. Twenty students were selected from each group. The research employed a qualitative methodology in which a phenomenographic approach was used to investigate the qualitatively different ways in which individuals within the two groups thought about concepts involving probabilistic reasoning, and processed the related mathematical skills and concepts. The cognitive processes involved in the applications of probabilistic and related mathematical concepts in a variety of both gambling and non-gambling situations were studied in order to determine whether this culturally based knowledge could be viewed as a type of ‘ethnomathematics.’ Data were obtained through individual structured interviews which enabled patterns of reasoning to be compared and contrasted. Analyses of these data enabled intuitive mathematical understandings possessed by the gamblers not only to be identified, but also to be linked with their social backgrounds. Also differences between how individuals in the two groups processed probabilistic and associated mathematical knowledge were determined. This research complements and extends existing knowledge and theories related to culturally-based mathematical knowledge. Implications for further research, for classroom teaching, and for curriculum development in the study of probability in senior secondary mathematics classes are discussed.

Η θεωρία γραφημάτων είναι ένας κλάδος των μαθηματικών που έχει ευρεία πρακτική εφαρμογή. Πολυάριθμα προβλήματα που προκύπτουν σε διαφορετικές επιστήμες, όπως ψυχολογία, χημεία, βιομηχανική μηχανική, διοίκηση, μάρκετινγκ και εκπαίδευση, μπορούν να παρασταθούν ως προβλήματα από τη θεωρία γραφημάτων. / -

Yes / The development of students’ mathematics skills in higher education is often the topic of professional debate in learning development circles. Less prevalent are discussions taking place around the interpersonal dynamics that occur during one-to-one (tutorial) sessions. This case study explores these dynamics. It arose from the continuing professional development activities of an adviser (learning developer) at a UK university. As a result of recording one-to-one mathematics sessions it was found that the adviser was unconsciously competent and that, although she was adept at identifying her areas for development, she struggled to articulate the considerable strengths of her practice. We wanted to find a way of describing, analysing and evaluating her competence, and alighted upon the person-centred approach. The aim of this paper, therefore, is to present the synthesis of maths skills practice with this approach in the hope of stimulating further research and professional conversation in the learning development community. The report offers novel idiographic findings through the application of person-centred theory to one practitioner’s experience of delivering maths skills development. We conclude by suggesting that focusing on the relationship between adviser and student can help to create conditions conducive to successful one-to-one education.

This thesis focuses on to word problems and elementary school pupils. Research on mathematical word problems suggests that differences in success are not only due to different levels of pupils' cognitive abilities but that their motivation plays a role, too. Therefore, in this study, I focused on the context of word problem as a potential source of situational interest, which may affect the quality of pupils' cognitive function in the short term or permanently. I used my participation in a broader quantitatively oriented research on variables influencing the difficulty of word problems and using its methodology, I investigated the influence of different types of contexts on pupils' success in solving the problems. The examined aspect of context was attractiveness - the question was whether pupils would be more successful in solving word problems with elements of fairy tale, science fiction or humour than in similar problems with the same structure but with a neutral context. Pupils of the 3rd to 6th grades of primary school (n = 2 092) were divided into two groups of a comparable ability and each was presented with one of the variants - attractive or neutral. To evaluate the results quantitatively, the Item Response Theory was used allowed us to determine the difficulty of the problem depending on...

Up to 30% by mass of plant cell walls are comprised of hemicelluloses. The remainder is comprised of cellulose, lignin and extractives. Potential economic uses of hemicellulose include hydrogels, fibre additives in pulp mill paper-making and as a substrate for fermentation processes. Development of a fermentation process with sugars from hemicellulose has become of increasing interest due to their potential as a feedstock for fermentation-based liquid fuels and other bio-based chemicals. These can be incorporated into existing processes, in particular alkaline chemical pulping mills, where up to 50% of the hemicelluloses are today degraded and eventually combusted. The main objective of this project is to examine the solubility and aggregation properties of xylans (the predominant hemicellulose), as this will hopefully lead to better solubility-based separations for their recovery. This was done at Michigan State University by alkaline extraction at 85°C on milled birch wood, and at 130 and 170°C (both time-dependent) on birch chips, with 50 g/L sodium hydroxide. This was then followed by precipitation/aggregation experiments with ethanol, polyDADMAC (a polycationic flocculant) and by acidification. Characterisation was done by performing dynamic light scattering (DLS) and size exclusion chromatography (SEC) analysis on resolubilised recovered material from the different extraction conditions. From these, size distributions, molecular weights and degrees of polymerization (DP) could be estimated. The DP values for the extracted polymers were higher than the expected values for hardwood xylans, owing to the incoherent SEC chromatograms. This may be due to aggregate formation with other polymers or re-solubilisation issues of the hemicellulose precipitates. The estimated size range for model xylan was between 100 to 300 nm and the ethanol precipitates seemed to also lie around this region, as detected by DLS. One of the major factors contributing to the difficulty of analysing the results was the issue of re-solubilisation of the hemicellulose precipitates and flocculates. / <p>Validerat; 20120827 (anonymous); 2017-02-08 Nedladdad 414 gånger t.o.m. september 2016. Downloaded 414 times up until september 2016 (marisr)</p>

The presented work is intended to serve as a teaching material in particular for pupils of the first year of secondary school, focusing on the basic knowledge of mathematics. The first part of the thesis is devoted to an analysis of existing web page, which corresponds to the theme of the diploma thesis. The evaluation takes into account the expertise as well as the scope of use of interactive elements. In the next part, the created teaching material in a form of web page is presented. It deals with the subject matter of powers, roots, polynomials and rational expressions. In accordance with current trend, the emphasis is put on both visualisation of curriculum (charts, use of graphics) and interactivity. All exercises to practise involve solution, therefore users are allowed to gain immediate feedback and thus to study individually. Web page is free available.

This study explored how the use of real-life contexts influences South African Grade 8 learners’ responses in solving mathematical word problems. A mathematical task was given to investigate whether the influence exists and if so how. The study falls within a social constructivist framework which emphasizes construction of learners’ own knowledge in the learning process. Learners do so when they are able to recognize and interpret a mathematical task as one for which everyday knowledge as well as mathematical knowledge would be a relevant resource on which to draw. The research method employed was a case study. Data for the study was collected through written a mathematical task and individual learner interviews. In the report key issues are identified and discussed. They are concerned with (a) learners representation of a number and (b) learners’ mathematical and real-world knowledge. The study concludes that current use of word problems does not foster in learners realistic considerations even though the South African curriculum emphasizes the incorporation of everyday life experiences into mathematics. Rather than providing realistic contexts that encourage learners to use commonsense knowledge and experience in the problem-solving process, school word problems are perceived as artificial, undoubtedly solvable, but also that everything in the problem text is confined to relevance and no-ambiguity. The report concludes with recommendations for classroom practice, teacher education and further research.

<p>An increasing number of students leave the Swedish compulsory school without having a satisfactory grade in mathematics. Causes why students risk ending up with difficulties in the subject of mathematics are debated but one explanation might be that more and more students are diagnosed with dyscalculia. The purpose of this study is to investigate how educationalists identify and organize their teaching in order to help students with difficulties in mathematics to reach the schools requirement and long-term goals that are defined in advance. It is vital to detect learning difficulties at an early stage. Accordingly, it can be avoided that the student starts to develop a negative self-image due to repeated failures and in the same time provide relevant help. Educationalists working actively with teaching possess valuable knowledge that is presently well managed. However, there are many indications that the schools steadily reducing amount of resources will limit their efforts. My contribution is an attempt to elucidate this complex of problems that are part of the daily rounds of an educationalist and that have been debated profoundly during the last years. The studie is based in qualitative iterviews with teachers in compulsory shool and one special educationalist and the interwiews are, after compilation, compared with earlier research of difficulties in mathematics.</p>